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1108832256 = 2123274297
BaseRepresentation
bin100001000010111…
…0111000000000000
32212021110111220100
41002011313000000
54232330113011
6302010042400
736322630050
oct10205670000
92767414810
101108832256
115199a80a4
1226b419400
13148953b7c
14a739b560
156752cd56
hex42177000

1108832256 has 156 divisors (see below), whose sum is σ = 3661311472. Its totient is φ = 316735488.

The previous prime is 1108832233. The next prime is 1108832269. The reversal of 1108832256 is 6522388011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1108832256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255900 + ... + 260196.

Almost surely, 21108832256 is an apocalyptic number.

1108832256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1108832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830655736).

1108832256 is an abundant number, since it is smaller than the sum of its proper divisors (2552479216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1108832256 is an equidigital number, since it uses as much as digits as its factorization.

1108832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1108832256 is about 33299.1329616854. The cubic root of 1108832256 is about 1035.0355907386.

The spelling of 1108832256 in words is "one billion, one hundred eight million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4297 4608 5376 6144 7168 8064 8594 9216 10752 12288 12891 14336 16128 17188 18432 21504 25782 28672 30079 32256 34376 36864 38673 43008 51564 60158 64512 68752 77346 86016 90237 103128 120316 129024 137504 154692 180474 206256 240632 258048 270711 275008 309384 360948 412512 481264 541422 550016 618768 721896 825024 962528 1082844 1100032 1237536 1443792 1650048 1925056 2165688 2200064 2475072 2887584 3300096 3850112 4331376 4400128 4950144 5775168 6600192 7700224 8662752 8800256 9900288 11550336 13200384 15400448 17325504 17600512 19800576 23100672 26400768 30800896 34651008 39601152 46201344 52801536 61601792 69302016 79202304 92402688 123203584 138604032 158404608 184805376 277208064 369610752 554416128 1108832256